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Helga [31]
3 years ago
14

You are dealt one card from a 52-card deck. Find the probability that you are not dealt a non-picture card.

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

Picture cards are Jacks, queens and Kings. There are 4 of each for a total of 12 picture cards.

52-12 = 40 non picture cards.

Probability of being dealt a non picture card would be 40/52

The probability of not being dealt a non picture card would be 1 - 40/52 = 12/52 = 3/13

Answer: 3/13

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The study of fluids​
Elenna [48]

Replace m with 46x10^4 in the equation and solve.

0.036(46x10^4)^3/4 = 635.87

Round to 636

The answer is A.

6 0
3 years ago
What is the answer to the question
S_A_V [24]

The equation of the parallel line is y = –2x – 11.

Solution:

Given equation of the line is y = –2x – 5.

Slope of this line is (m_1) = –2

To write the equation parallel to this line and passes through (–4, –3).

<em>If two lines are parallel, then they have the same slope.</em>

\Rightarrow m_1=m_2

\Rightarrow m_2 =-2

<u>Point-slope formula:</u>

y-y_1=m(x-x_1)

Substitute the given values in the formula, we get

y-(-3)=-2(x-(-4))

y+3=-2(x+4)

y+3=-2x-8

Subtract 3 from both sides of the equation.

y+3-3=-2x-8-3

y=-2x-11

Hence the equation of the parallel line is y = –2x – 11.

5 0
3 years ago
The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed be
nadya68 [22]

Answer:

a= 13.15 years

b= -0.62 years/$

Step-by-step explanation:

Hello!

Given the variables

Y: Age of a used car. (years)

X: Price of a sold used car. ($000)

The linear regression model is:

E(Y)= α + βXi

The estimated equation is:

^Y= a + bXi

a= (\frac{sumY_i}{n} ) - b(\frac{sumX_i}{n} )

a= 13.15 years

b= \frac{(sumX_iY_i-\frac{(sumX_i)(sumY_i)}{n} }{sumX_i^2-(\frac{(sumX_i)^2}{n} )}

b= -0.62 years/$

Then ^Y= 13.15 - 0.62Xi

Mean Y= 8.92

Mean X= 6.91

∑Y= 107

∑Y²=1009

∑X=82.90

∑X²=615.29

∑XY=712.9

Hope it helps!

5 0
3 years ago
For the x-values 1, 2, 3, and so on, the yvalues of a function form a geometric
Tema [17]

Answer:

  exponential function

Step-by-step explanation:

A geometric sequence is a representation of an exponential function.

__

There are a couple of ways an exponential function can decrease in value. It can be a decaying function, or it can be a growth function that is reflected across the x-axis.

4 0
3 years ago
The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a lin
Alika [10]

Answer:

0.47x + 7.72

Step-by-step explanation:

We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)

The general equation of the line in slope intercept form is

y = mx + c

where m is the slope and c is the y-intercept.

Calculating the slope:

slope=m=\frac{\textrm{Difference of y coordinates}}{\textrm{Difference of x coordinates}} \\\\ slope=m=\frac{27.75-17.5}{43-21}\\\\m=0.47

Using the value of m in above equation we get:

y = 0.47x + c

Calculating the y-intercept:

Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:

17.5 = 0.47(21) + c

c = 17.5 - 0.47(21)

c = 7.63

Therefore, the equation is:

y = 0.47x + 7.63

Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.

So from the given options, the correct answers is:

y = 0.47x + 7.72

3 0
3 years ago
Read 2 more answers
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